Question

What is a kernel in a transformation?

Answer 1

Is the question " What is the Kernel of a transformation"?

Answer 2

Oh sorry..Yes

Answer 3

The kernel of a transformation f is the set of points x such that f(x)=0

Answer 4

It is not clear to me. Could you please provide more explanation?

Answer 5

Take the linear transformation f(x,y) = x -y from the the plane to the real numbers.
The kernel of f is the set of points that are mapped to zero. So it is all the points on the line y=x. This line is the kernel of the linear transformation f. Is this question in lenar algebra?

Answer 6

linear algebra

Answer 7

No. I encountered this when I came across Laplace transforms.

Answer 8

The Kernel in this situation is different. Can you specify where did you encounter this?

Answer 9

The part exp(-st) in Laplace transforms

Answer 10

That is the Kernel of the Laplace Transform. See
http://en.wikipedia.org/wiki/Integral_transform

Answer 11

Then. Is it the function that helps to transform a function from one domain to another (for example from time to frequency domain)?